{"id":"W3044399219","doi":"10.1090/tran/8413","title":"Independence of synthetic curvature dimension conditions on transport distance exponent","year":2021,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ricci curvature; Geodesic; Convexity; Exponent; Dimension (graph theory); Upper and lower bounds; Combinatorics; Measure (data warehouse); Curvature; Metric space; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005253561,0.0004317557,0.001462962,0.00008102005,0.0001780015,0.00002177312,0.0007487907,0.0003038199,0.0004799818],"category_scores_gemma":[0.0001887785,0.0003010524,0.002384423,0.001163692,0.0008901692,0.00006065495,0.00006818522,0.001441761,0.000003564643],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001133794,"about_ca_system_score_gemma":0.0001690429,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006832732,"about_ca_topic_score_gemma":0.00002020623,"domain_scores_codex":[0.9966649,0.0001862292,0.001037589,0.0005354788,0.001269259,0.0003065918],"domain_scores_gemma":[0.9957546,0.0009281719,0.00122394,0.001637648,0.000343562,0.0001121029],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001365322,0.08556911,0.006043319,0.06932283,0.05050949,0.00008481459,0.1103889,0.1585467,0.05311859,0.4336841,0.01495215,0.01641467],"study_design_scores_gemma":[0.002242382,0.0009561029,0.02346371,0.01557227,0.01882923,0.00007948793,0.03393026,0.01989985,0.04488574,0.8359723,0.0003059903,0.003862676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6201858,0.0001417749,0.3771729,0.0009690077,0.0001724227,0.000586871,0.0002586203,0.00005920112,0.0004533792],"genre_scores_gemma":[0.9821753,0.0001560643,0.01705868,0.00008483233,0.00002275553,0.0000783696,0.00002013153,0.00004727268,0.0003565796],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4022883,"threshold_uncertainty_score":0.9999442,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02214469048929436,"score_gpt":0.2881830719421679,"score_spread":0.2660383814528736,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}